MATEMATIČKI VESNIK
МАТЕМАТИЧКИ ВЕСНИК



MATEMATIČKI VESNIK
BI-CLOSING WORDS
S. Jangjooye Shaldehi

Abstract

We will show that factor codes that have a bi-closing word are bi-closing a.e. and have a degree. Moreover, a closing code with a bi-closing word into an irreducible shift space is constant-to-one. Then we study which properties may be invariant by codes that have a bi-closing word under factoring and extension. Moreover, we give some conditions for a bi-closing word and show that every closing open code in an irreducible shift space has a bi-closing word.

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Keywords: Shift of finite type; sofic; synchronized; coded; closing; hyperbolic.

MSC: 37B10

DOI: 10.57016/MV-KSvK3735

Pages:  1$-$10